1. The position vector of a particle P of mass 2 kg at time i seconds is given by r= [(I- cos 21)i+ (1+sin 21) j]m (i) Find the velacity of P whenf=: (i) Find alsó acceleration of P when i = (ii) Find magnitude of the force acting on P when 1=. (iv) Show that the velocity and acceleration of P are always perpendicular to cach other. (v) Determine the value of i for 0s1s for which the velocity of P is perpendicular to its position vector.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Answer 1
![The position vector of a particlep of mass 2 kg at time t seconds is given by
r=[(1-cos 21)i + (1+ sin 2r) j]m .
(i)
Find the velocity ofP when/=-
(ii) Find also acceleration of P when i
(iii) Find magnitude of the force acting on P when /=:
(iv) Show that the velocity and acceleration of P are always perpendicular to cach other.
(v)
Determine the value of i for 0sis" for which the velocity of P is perpendicular to its position
vector.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4957fe4-4c01-40d3-938e-f3efa5fe6d1c%2F49c0aec5-0f5c-4412-b65b-2d48152a9088%2Fqw4dfpd_processed.jpeg&w=3840&q=75)
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